On group theory 5
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On group theory 5
Consider the circle group \(\displaystyle{\left(S^{1},\cdot\right)}\) .
Find the set \(\displaystyle{H=\left\{\left(x,y\right)\in S^{1}: o((x,y))<\infty\right\}}\) .
Find the set \(\displaystyle{H=\left\{\left(x,y\right)\in S^{1}: o((x,y))<\infty\right\}}\) .
- Grigorios Kostakos
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Re: On group theory 5
Vaggelis, how do you define the order $\circ((x,y))$ of $(x,y)$ ? Which is the "multiplication" in the group?Papapetros Vaggelis wrote:Consider the circle group \(\displaystyle{\left(S^{1},\cdot\right)}\) .
Find the set \(\displaystyle{H=\left\{\left(x,y\right)\in S^{1}: o((x,y))<\infty\right\}}\) .
Grigorios Kostakos
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